中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

学术报告

 

报告人: 李泱 博士 MIT
  目:Exotic C^3 and holomorphic fibration
  间:2022.07.12(星期二),08:30-10:30
  点:Zoom会议:563 133 4105   密码:AMSS      
  要:I will discuss an example of complete Calabi-Yau metrics on C^3 with maximal volume growth, which fails to be Euclidean. The construction itself uses the Tian-Yau existence strategy, once an ansatz metric near infinity is prescribed. The motivation comes from collapsing Calabi-Yau metrics on compact 3-folds with a Lefschetz K3 fibration to CP1. It turns out the metric on C^3 is the local model of a tiny region in this global 3-fold, a fact first suggested by nonlinear analysis and then subsequently proved by gluing.
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报告人: 李泱 博士 MIT
  目:Metric SYZ conjecture
  间:2022.07.14(星期四),08:30-10:30
  点:Zoom会议:563 133 4105   密码:AMSS      
  要:The SYZ conjecture concerns special Lagrangian fibrations on Calabi-Yau manifolds near the large complex structure limit. After some survey on history and the expectations, we will sketch some parts of the proof in the Fermat hypersurface case. After the tea break, we will discuss an alternative (partially conjectural) strategy based on non-archimedean pluripotential theory.

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